Quantitative Reasoning:: Descriptive Statistics

 

Consider this scenario: You are on the Board of Directors of the National Parkinson’s Association. Two different research labs are working on medications to decrease the debilitating effects of the disease. Your responsibility is to review and evaluate both of the results from the research studies and make recommendations for future funding. You can only fund one of the two. Patients and their families are anxiously waiting for the Board of Directors to make a decision on which of the two can be funded.

Part I.

Your first task it to do the following calculations for both of the results that have been submitted to you.

Mean

Median

Mode

Range

Standard Deviation (are there outliners you should consider?)

Number of months that patients went without experiencing a debilitating symptom:

Group I results = 4, 5, 3, 5, 6, 1, 2, 22, 3, 2, 5, 3

Group II results = 4, 5, 6, 8, 10, 5, 18, 1, 7, 4, 5, 6

Part II.

After you have done this comparison, write a letter to the rest of the members of the board stating which group you are recommending to receive additional funding to support their research. This should be done in Memo Format and you need to discuss your findings and compare them. You can include a table to show the comparison if you want to. Do not be concerned with the small number used in each group in the study.

You need to present and compare the finding and explain WHY you have chosen the one you have. There is not really a right or wrong answer. I know which one I would recommend and why – but that does not mean you would interpret the findings as I did. Your statistics should be the same – math is math, but your decision might be different than mine or your peers’.

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So, explain why based upon the statistics you have calculated. There are many good on-line Central Tendency calculators and some of you may be a proficient with a spreadsheet.